Respuesta :

Step-by-step explanation:

Hey there!

Given;

ABC is a Right angled triangle.

Taking angle "A" as reference angle, we get;

Perpendicular (p) = BC

hypotenuse (h) = 13cm

Base(b) = 8cm

We know;

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]

[tex] BC = \sqrt{169 - 64} [/tex]

[tex] BC = \sqrt{105} [/tex]

[tex] BC = 10.246[/tex]

Therefore, BC = 10.246cm.

Hope it helps...

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